解方程cot2y=0.25

2014-01-01 6:39 am
0<y<4,解方程cot2y=0.25,以弧度表示答案

回答 (2)

2014-01-01 7:05 am
✔ 最佳答案
...........0<y<4,解方程Cot(2y)=0.25,以弧度表示答案
Sol
Tan(2y)=4
2y=nπ+ArcTan(4)=nπ+1.3258
0<nπ+1.3258<8
-1.3258<nπ<8-1.3258
-1.3258<nπ<6.6742
-0.422<n<2.124
n=0 or n=1 or n=2
2y=1.3258 or 2y=4.46739 or 2y=7.60898
y=0.6629 or y=2.233695 or y=3.80449


2014-01-01 6:59 am
As 1/tan2y=1/4

tan2y=4

2y=tan-1(4)

2y= 1.33, 1.33+Pi, 1.33+2Pi

=0.67, 2.24, 3.81
參考: ME


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